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12304422011420 = 22571176519104417
BaseRepresentation
bin1011001100001101100010…
…1101000000001000011100
31121120021212022210120211022
42303003120231000020130
53103043424013331140
642100323510143312
72406652022300420
oct263033055001034
947507768716738
1012304422011420
113a143044a47a0
12146881a051b38
136b33c06ba2a6
14307774128b80
151650ed9150b5
hexb30d8b4021c

12304422011420 has 96 divisors (see below), whose sum is σ = 32215943531520. Its totient is φ = 3835057674240.

The previous prime is 12304422011419. The next prime is 12304422011461. The reversal of 12304422011420 is 2411022440321.

It is a super-2 number, since 2×123044220114202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12304422011420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117787052 + ... + 117891468.

It is an arithmetic number, because the mean of its divisors is an integer number (335582745120).

Almost surely, 212304422011420 is an apocalyptic number.

12304422011420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12304422011420 is an abundant number, since it is smaller than the sum of its proper divisors (19911521520100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12304422011420 is a wasteful number, since it uses less digits than its factorization.

12304422011420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180963 (or 180961 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 12304422011420 its reverse (2411022440321), we get a palindrome (14715444451741).

The spelling of 12304422011420 in words is "twelve trillion, three hundred four billion, four hundred twenty-two million, eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 76519 104417 153038 208834 306076 382595 417668 522085 535633 730919 765190 841709 1044170 1071266 1148587 1461838 1530380 1683418 2088340 2142532 2297174 2678165 2923676 3366836 3654595 4208545 4594348 5356330 5742935 5891963 7309190 8040109 8417090 10712660 11485870 11783926 14618380 16080218 16834180 22971740 23567852 29459815 32160436 40200545 58919630 80401090 117839260 160802180 7989884423 15979768846 31959537692 39949422115 55929190961 79898844230 87888728653 111858381922 159797688460 175777457306 223716763844 279645954805 351554914612 439443643265 559291909610 615221100571 878887286530 1118583819220 1230442201142 1757774573060 2460884402284 3076105502855 6152211005710 12304422011420